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math.NT2013
A refinement of the Artin conductor and the base change conductor
Ching-Li Chai, Christian Kappen
For a local field K with positive residue characteristic p, we introduce, in the first part of this paper, a refinement bAr_K of the classical Artin distribution Ar_K. It takes val…
math.NT2012
Abelian varieties over number fields, tame ramification and big Galois image
Sara Arias-de-Reyna, Christian Kappen
Given a natural number n and a number field K, we show the existence of an integer \ell_0 such that for any prime number \ell\geq \ell_0, there exists a finite extension F/K, unram…